RESEARCH PAPERS: Production Engineering Papers

Characteristics, Riemann Invariants, and Plane Strain Plasticity

[+] Author and Article Information
S. Ramalingam, P. V. Desai, K. Kim

Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minn. 55455

J. Eng. Ind 104(3), 265-271 (Aug 01, 1982) (7 pages) doi:10.1115/1.3185829 History: Received March 11, 1982; Online July 30, 2009


The set of equations governing plane strain plasticity are treated here as a system of homogeneous quasi-linear partial differential equations. Characteristics and Riemann invariants are defined and used. It is shown that when a plane strain plasticity problem is mapped in the plane of invariants (Riemann plane), the domain of plasticity is readily identified and a unique solution is facilitated.

Copyright © 1982 by ASME
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